Trigonometric Limits Demo (sin t)/t and (1-cos t)/t
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This example dynamically demonstrates the limits of (sin t)/t and (1-cos t)/t as t approaches 0, providing geometric intuition for limit calculations. Core math concepts include trigonometric limits, limit computation, and geometric visualization. GeoGebra commands/objects used for construction are Intersect, Circle, Point, Segment, OrthogonalLine, CircleSector, and CircleArc. Suitable for high school calculus students to understand the geometric meaning and computation of limits.
GeoGebra Commands & Parameters
Intersect(xAxis, yAxis) → ACircle(A, B) → cPoint(c) → CSegment(A, C) → fOrthogonalLine(C, xAxis) → gIntersect(g, xAxis) → DSegment(C, D) → hSegment(C, B) → iSegment(D, C) → jCircleSector(A, B, C) → dCircleArc(A, B, C) → θSegment(A, D) → kSegment(D, B) → l